Q45 of 177 Page 24

Write a unit vector in the direction of the sum of the vectors and

and

Let

The unit vector of any vector can be written as

Hence,

Find a unit vector in the direction of the vector

If and are two equal vectors, then write the value of x + y + z.

Find the value of ‘p’ for which the vectors and are parallel.

Find a vector of magnitude making an angle of π/4 with x-axis π/2 with y-axis and an acute angle θ with z-axis.